2040940800 has 540 divisors, whose sum is σ = 7851053056. Its totient is φ = 522547200.

The previous prime is 2040940787. The next prime is 2040940807. The reversal of 2040940800 is 80490402.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2040940807) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 16070337 + ... + 16070463.

Almost surely, 2^2040940800 is an apocalyptic number.

2040940800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2040940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3925526528).

2040940800 is an abundant number, since it is smaller than the sum of its proper divisors (5810112256).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2040940800 is a wasteful number, since it uses less digits than its factorization.

2040940800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2040940800 is about 45176.7727931069. The cubic root of 2040940800 is about 1268.4600757941.

The spelling of 2040940800 in words is "two billion, forty million, nine hundred forty thousand, eight hundred".